A solid copper bar of circular cross-section has a length L = 1.25 m and shear modulus of elasticity G = 45 GPa. The bar is designed to carry a 250 N · m torque acting at the ends. If the allowable shear stress is 30 MPa and the allowable angle of twist between the ends is 2.5°, what is the minimum required diameter?

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T L = 1.25 m T